LogiQuest

490. Broken Calculator

MediumGreedy

The calculator can only double the display or subtract 1. Print the minimum operations to turn start into target.

Input format

One line: start target

Output format

The minimum operations.

Example 1

Input

2 3

Output

2

Example 2

Input

5 8

Output

2

Constraints

1 ≤ start, target ≤ 10⁹

Read input from standard input and print the answer to standard output. Your code is judged against 4 test cases, most of them hidden.

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